EFFECTIVE LANGRANGIAN FOR SELF-INTERACTING SCALAR FIELD-THEORIES IN CURVED SPACETIME

Citation
K. Kirsten et al., EFFECTIVE LANGRANGIAN FOR SELF-INTERACTING SCALAR FIELD-THEORIES IN CURVED SPACETIME, Physical review. D. Particles and fields, 48(6), 1993, pp. 2813-2822
Citations number
53
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
48
Issue
6
Year of publication
1993
Pages
2813 - 2822
Database
ISI
SICI code
0556-2821(1993)48:6<2813:ELFSSF>2.0.ZU;2-J
Abstract
We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using zeta-function regularization an d heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the variation of the background field and up to quadratic terms in the curvature tensors. Specializing to different sp acetimes of physical interest, the influence of the curvature on the p hase transition is considered.